document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=90879>Question 90879</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072549017/algebrahomeworkh>Beginning Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Solve by completing the square: 4x^2 + 2x - 3 = 0\r<BR>\n" );
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document.write( "4x^2 + 2x = 3<BR>\n" );
document.write( "x^2 + 2/4x = 3/4<BR>\n" );
document.write( "Square one-half of the of the x-coefficient and then add it to both sides<BR>\n" );
document.write( "1/2 of 2/4 = 1/4^2 = 1/16<BR>\n" );
document.write( "x^2 + 2/4x + 1/16 = 3/4 + 1/16<BR>\n" );
document.write( "(x-1/4)^2 = 13/16<BR>\n" );
document.write( "x - 1/4 = +/- radical 13 over radical 16<BR>\n" );
document.write( "x - 1/4 = +/- radical 13 over 4<BR>\n" );
document.write( "x = 1/4 +/- radical 13 over 4<BR>\n" );
document.write( "x = 1 +/- radical 13 over 4 \r<BR>\n" );
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document.write( "Any help is appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #65936 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=65936\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve by completing the square: 4x^2 + 2x - 3 = 0\r<BR>\n" );
document.write( "\n" );
document.write( "4x^2 + 2x = 3<BR>\n" );
document.write( "x^2 + 2/4x = 3/4<BR>\n" );
document.write( "Square one-half of the of the x-coefficient and then add it to both sides<BR>\n" );
document.write( "1/2 of 2/4 = 1/4<BR>\n" );
document.write( "x^2 + (1/2)x + (1/4)^2 = 3/4 + (1/4)^2<BR>\n" );
document.write( "(x-1/4)^2 = 13/16<BR>\n" );
document.write( "(x-1/4) = +-[sqrt13]/4<BR>\n" );
document.write( "x = [1+sqrt13]/4 or x = [1-sqrt13]/4<BR>\n" );
document.write( "=====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );